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Finding the Third Proportional to 280,346 and 611,380

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Solution

The third proportional to 280,346 and 611,380 is: 1,333,300.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,346 : 611,380 = 611,380 : x
  2. Step 2: Convert to fraction form
    280,346/611,380 = 611,380/x
  3. Step 3: Cross multiply
    280,346x = 611,380 × 611,380
  4. Step 4: Simplify right side
    280,346x = 373,785,504,400
  5. Step 5: Solve for x
    x = 373,785,504,400/280,346
  6. Step 6: Final answer
    x = 1,333,300.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.